Locality and Centrality: The Variety ZG

We study the variety ZG of monoids where the elements that belong to a group are central, i.e., commute with all other elements. We show that ZG is local, that is, the semidirect product ZG * D of ZG by definite semigroups is equal to LZG, the variety of semigroups where all local monoids are in ZG....

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Bibliographic Details
Main Authors: Antoine Amarilli, Charles Paperman
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2023-10-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/11555/pdf